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Remarks on the Levi core Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2024-03-07 Gian Maria Dall’Ara, Samuele Mongodi
Abstract We investigate a few aspects of the notion of Levi core, recently introduced by the authors in Dall’Ara, Mongodi (J l’École Polytech Math 10:1047-1095, 2023): a basic finiteness question, the connection with Kohn’s algorithm, and with Catlin’s property (P).
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Fractional Besov spaces and Hardy inequalities on bounded non-smooth domains Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2024-02-29 Jun Cao, Yongyang Jin, Zhuonan Yu, Qishun Zhang
Let \(\Omega \) be a bounded non-smooth domain in \(\mathbb {R}^n\) that satisfies the measure density condition. In this paper, the authors study the interrelations of three basic types of Besov spaces \(B_{p,q}^s(\Omega )\), \(\mathring{B}_{p,q}^s(\Omega )\) and \(\widetilde{B}_{p,q}^s(\Omega )\) on \(\Omega \), which are defined, respectively, via the restriction, completion and supporting conditions
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On the quasilinear Schrödinger equations on tori Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2024-02-15 Felice Iandoli
We improve the result by Feola and Iandoli (J Math Pures Appl 157:243–281, 2022), showing that quasilinear Hamiltonian Schrödinger type equations are well posed on \(H^s({{\mathbb {T}}}^d)\) if \(s>d/2+3\). We exploit the sharp paradifferential calculus on \({{\mathbb {T}}}^d\) developed by Berti et al. (J Dyn Differ Equ 33(3):1475–1513, 2021).
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An abstract instability theorem of the bound states for Hamiltonian PDEs and its application Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2024-02-14 Jun Wang
In this paper, the orbital instability theorem is introduced for Hamiltonian partial differential equation (PDE) systems. Our specific focus lies on the Schrödinger system featuring quadratic nonlinearity, and we apply the theorem to analyze its behavior. Our theorem establishes the abstract instability theorem for a specific class of Hamiltonian PDE systems. We consider the energy functional to be
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A sharp multiplier theorem for solvable extensions of Heisenberg and related groups Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-12-26 Alessio Martini, Paweł Plewa
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The Cheeger constant as limit of Sobolev-type constants Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-12-21 Grey Ercole
Let \(\Omega \) be a bounded, smooth domain of \({\mathbb {R}}^{N},\) \(N\ge 2.\) For \(1
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On varieties with Ulrich twisted tangent bundles Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-12-12 Angelo Felice Lopez, Debaditya Raychaudhury
We study varieties \(X \subseteq {\mathbb {P}}^N\) of dimension n such that \(T_X(k)\) is an Ulrich vector bundle for some \(k \in {\mathbb {Z}}\). First we give a sharp bound for k in the case of curves. Then we show that \(k \le n+1\) if \(2 \le n \le 12\). We classify the pairs \((X,{\mathcal {O}}_X(1))\) for \(k=1\) and we show that, for \(n \ge 4\), the case\(k=2\) does not occur.
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Existence, uniqueness and stability for a nonlinear problem arising from stratified arctic gyres Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-12-12 Qixing Ding, Fang-fang Liao, Sulei Wang
In this paper, we derive a nonlinear model for stratified arctic gyres, and prove several results on the existence, uniqueness and stability of solutions to such a model, by assuming suitable conditions for the vorticity function and the density function. The approach consists of deriving a suitable integral formulation for the problem and using fixed-point techniques.
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Positive flow-spines and contact 3-manifolds, II Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-12-07 Ippei Ishii, Masaharu Ishikawa, Yuya Koda, Hironobu Naoe
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Optimal regularity of the thin obstacle problem by an epiperimetric inequality Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-12-07 Matteo Carducci
The key point to prove the optimal \(C^{1,\frac{1}{2}}\) regularity of the thin obstacle problem is that the frequency at a point of the free boundary \(x_0\in \Gamma (u)\), say \(N^{x_0}(0^+,u)\), satisfies the lower bound \(N^{x_0}(0^+,u)\ge \frac{3}{2}\). In this paper, we show an alternative method to prove this estimate, using an epiperimetric inequality for negative energies \(W_\frac{3}{2}\)
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Double-tower solutions for higher-order prescribed curvature problem Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-12-06 Yuan Gao, Yuxia Guo, Yichen Hu
We consider the following higher-order prescribed curvature problem on \( {\mathbb {S}}^N: \)$$\begin{aligned} D^m {\tilde{u}}=\widetilde{K}(y) {\tilde{u}}^{m^{*}-1} \quad \text{ on } \ {\mathbb {S}}^N, \qquad {\tilde{u}} >0 \quad {\quad \hbox {in } }{\mathbb {S}}^N. \end{aligned}$$ where \(\widetilde{K}(y)>0\) is a radial function, \(m^{*}=\frac{2N}{N-2m}\), and \(D^m\) is the 2m-order differential
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Existence and asymptotic behavior of ground states for linearly coupled systems involving exponential growth Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-12-05 Uberlandio B. Severo, José Carlos de Albuquerque, Edjane O. dos Santos
In this paper we study the following class of linearly coupled systems in the plane: $$\begin{aligned} {\left\{ \begin{array}{ll} -\Delta u + u = f_1(u) + \lambda v,\quad \text{ in }\quad \mathbb {R}^2, \\ -\Delta v + v = f_2(v) + \lambda u,\quad \text{ in }\quad \mathbb {R}^2, \\ \end{array}\right. } \end{aligned}$$ where \(f_{1}, f_{2}\) are continuous functions with critical exponential growth in
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Three dimensional Lie groups of scalar Randers type Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-12-01 Lun Zhang, Libing Huang
If a Lie group admits a left invariant Randers metric of scalar flag curvature, then it is called of scalar Randers type. In this paper we determine all simply connected three dimensional Lie groups of scalar Randers type. It turns out that such groups must also admit a left invariant Riemannian metric with constant sectional curvature.
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Robin problems for elliptic equations with singular drifts on Lipschitz domains Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-11-28 Wenxian Ma, Sibei Yang
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The prime graphs of groups with arithmetically small composition factors Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-11-26 Timothy J. Edwards, Thomas Michael Keller, Ryan M. Pesak, Karthik Sellakumaran Latha
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On a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain and its computation Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-11-18 Tokuhiro Eto, Yoshikazu Giga
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Elastic graphs with clamped boundary and length constraints Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-11-10 Anna Dall’Acqua, Klaus Deckelnick
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Complex Dirac structures with constant real index on flag manifolds Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-10-27 Cristian Ortiz, Carlos Varea
In this paper we describe all invariant complex Dirac structures with constant real index on a maximal flag manifold in terms of the roots of the Lie algebra which defines the flag manifold. We also completely classify these structures under the action of B-transformations.
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A counterexample to $$L^{\infty }$$ -gradient type estimates for Ornstein–Uhlenbeck operators Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-10-27 Emanuele Dolera, Enrico Priola
Let \((\lambda _k)\) be a strictly increasing sequence of positive numbers such that \({\sum _{k=1}^{\infty } \frac{1}{\lambda _k} < \infty }\). Let f be a bounded smooth function and denote by \(u= u^f\) the bounded classical solution to $$\begin{aligned} u(x) - \frac{1}{2}\sum _{k=1}^m D^2_{kk} u(x) + \sum _{k =1}^m \lambda _k x_k D_k u(x) = f(x),\quad x \in {{\mathbb {R}}}^m . \end{aligned}$$ It
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Hopf type theorems for surfaces in the de Sitter–Schwarzschild and Reissner–Nordstrom manifolds Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-10-27 Hilário Alencar, Gregório Silva Neto
In 1951, Hopf proved that the only surfaces, homeomorphic to the sphere, with constant mean curvature in Euclidean space are the round (geometrical) spheres. These results were generalized by S. S. Chern and then by Eschenburg and Tribuzy for surfaces homeomorphic to the sphere in Riemannian manifolds with constant sectional curvature whose mean curvature function satisfies some bound on its differential
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Non-degeneracy of the multi-bump solutions to the Brezis-Nirenberg problem Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-10-27 Haixia Chen, Chunhua Wang, Huafei Xie, Yang Zhou
We revisit the well-known Brezis-Nirenberg problem $$\begin{aligned} {\left\{ \begin{array}{ll} -\Delta u= u^{\frac{N+2}{N-2}}+\varepsilon u, &{}{{\text {in}}~\Omega },\\ u>0, &{}{{\text {in}}~\Omega },\\ u=0, &{}{\text {on}~\partial \Omega }, \end{array}\right. } \end{aligned}$$ where \(\varepsilon >0\) and \(\Omega \subset \mathbb {R}^N\) are a smooth bounded domain with \(N\ge 3\). The existence
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Variations on average character degrees and solvability Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-10-24 Neda Ahanjideh, Zeinab Akhlaghi, Kamal Aziziheris
Let G be a finite group, \(\mathbb {F}\) be one of the fields \(\mathbb {Q},\mathbb {R}\) or \(\mathbb {C}\), and N be a non-trivial normal subgroup of G. Let \({\textrm{acd}}^{*}_{{\mathbb {F}}}(G)\) and \({\textrm{acd}}_{{\mathbb {F}}, \textrm{even}}(G|N)\) be the average degree of all non-linear \(\mathbb {F}\)-valued irreducible characters of G and of even degree \(\mathbb {F}\)-valued irreducible
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Harmonic almost complex structures on almost abelian Lie groups and solvmanifolds Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-10-24 Adrián Andrada, Alejandro Tolcachier
An almost abelian Lie group is a solvable Lie group with a codimension one normal abelian subgroup. We characterize almost Hermitian structures on almost abelian Lie groups where the almost complex structure is harmonic with respect to the Hermitian metric. Also, we adapt the Gray–Hervella classification of almost Hermitian structures to the family of almost abelian Lie groups. We provide several examples
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End-point norm estimates for Cesàro and Copson operators Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-10-15 Sorina Barza, Bizuneh M. Demissie, Gord Sinnamon
For a large class of operators acting between weighted \(\ell ^\infty\) spaces, exact formulas are given for their norms and the norms of their restrictions to the cones of nonnegative sequences; nonnegative, nonincreasing sequences; and nonnegative, nondecreasing sequences. The weights involved are arbitrary nonnegative sequences and may differ in the domain and codomain spaces. The results are applied
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Analysis of a system modeling the interaction between the motion of piston-spring and a viscous gas Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-10-13 Sabrine Chebbi, Václav Mácha, Šárka Nečasová
We are concerned with a one-dimensional flow of a compressible fluid which may be seen as a simplification of the flow of fluid in a long thin pipe. We assume that the pipe is on one side ended by a spring. The other side of the pipe is let open—there we assume either inflow or outflow boundary conditions. Such situation can be understood as a toy model for human lungs. We tackle the question of uniqueness
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Orbital stability of solitary waves for a two-component Novikov system Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-10-08 Rudong Zheng
We consider solitary wave solutions of a two-component Novikov system, which is a coupled Camassa-Holm type system with cubic nonlinearity. Inspired by the methods established by Constantin and Strauss in [6, 7], we prove that the smooth solitary waves and non-smooth peakons to the system are both orbitally stable.
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Sectional nonassociativity of metrized algebras Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-10-08 Daniel J. F. Fox
The sectional nonassociativity of a metrized (not necessarily associative or unital) algebra is defined analogously to the sectional curvature of a pseudo-Riemannian metric, with the associator in place of the Levi-Civita covariant derivative. For commutative real algebras nonnegative sectional nonassociativity is usually called the Norton inequality, while a sharp upper bound on the sectional nonassociativity
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Flatness, weakly lex colimits, and free exact completions Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-10-05 Giacomo Tendas
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Supersolvability and nilpotency in terms of the commuting probability and the average character degree Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-09-25 Juan Martínez
Let p be a prime and let G be a finite group such that the smallest prime that divides |G| is p. We find sharp bounds, depending on p, for the commuting probability and the average character degree to guarantee that G is nilpotent or supersolvable.
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A comparison principle for doubly nonlinear parabolic partial differential equations Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-09-22 Verena Bögelein, Michael Strunk
In this paper, we derive a comparison principle for non-negative weak sub- and super-solutions to doubly nonlinear parabolic partial differential equations whose prototype is $$\begin{aligned} \partial _t u^q - {{\,\textrm{div}\,}}{\big (|\nabla u|^{p-2}\nabla u \big )}=0 \qquad \text{ in } \Omega _T, \end{aligned}$$ with \(q>0\) and \(p>1\) and \(\Omega _T:=\Omega \times (0,T)\subset \mathbb {R}^{n+1}\)
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Inequality on the optimal constant of Young’s convolution inequality for locally compact groups and their closed subgroups Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-09-20 Takashi Satomi
We define the optimal constant \(Y ( p_1, p_2; G )\) of Young’s convolution inequality as $$\begin{aligned} Y ( p_1, p_2 ; G ) := \sup \{ \Vert \phi _1 * ( \phi _2 \Delta ^{1 / p_1'} ) \Vert _p \mid \phi _1, \phi _2 :G \rightarrow \mathbb {C}, \; \Vert \phi _1 \Vert _{p_1} = \Vert \phi _2 \Vert _{p_2} = 1 \} \end{aligned}$$ for a locally compact group G and \(1 \le p_1, p_2, p \le \infty \) with \(1
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Rigidity of holomorphic mappings from local and global viewpoints Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-09-11 Manabu Ito
We consider rigidity of holomorphic mappings from local and global viewpoints. For instance, we derive a generalization of the famous multi-point Schwarz–Pick lemma of Alan Frank Beardon and Carl David Minda that contains a number of known variations of the classical Schwarz lemma. Such global conclusions will be reached by using comparison with proper holomorphic mappings.
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Pointwise and weighted Hessian estimates for Kolmogorov–Fokker–Planck-type operators Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-09-13 Abhishek Ghosh, Vivek Tewary
In this article, we obtain Hessian estimates for Kolmogorov–Fokker–Planck operators in non-divergence form in several Banach function spaces. Our approach relies on a representation formula and newly developed sparse domination techniques in harmonic analysis. Our result when restricted to weighted Lebesgue spaces yields sharp quantitative Hessian estimates for the Kolmogorov–Fokker–Planck operators
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The p-Laplacian overdetermined problem on Riemannian manifolds Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-08-30 Qihua Ruan, Qin Huang, Fan Chen
In this paper, we study the overdetermined problem for the p-Laplacian equation on complete noncompact Riemannian manifolds with nonnegative Ricci curvature. We prove that the regularity results of weak solutions of the p-Laplacian equation and obtain some integral identities. As their applications, we give the proof of the p-Laplacian overdetermined problem and obtain some well known results such
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Heaps of modules and affine spaces Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-08-30 Simion Breaz, Tomasz Brzeziński, Bernard Rybołowicz, Paolo Saracco
A notion of heaps of modules as an affine version of modules over a ring or, more generally, over a truss, is introduced and studied. Basic properties of heaps of modules are derived. Examples arising from geometry (connections, affine spaces) and algebraic topology (chain contractions) are presented. Relationships between heaps of modules, modules over a ring and affine spaces are revealed and analysed
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Periodic linear groups in which permutability is a transitive relation Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-08-28 Maria Ferrara, Marco Trombetti
A PT-group is a group in which the relation of being a permutable subgroup is transitive. The main aim of this paper is to show that a (homomorphic image of a) periodic linear group is a soluble PT-group if and only if each subgroup of a Sylow subgroup is permutable in the corresponding Sylow normalizer (see Theorem 4.7); for a fixed prime p, the latter condition is denoted by \(\mathfrak {X}_p\).
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Nonexistence of stable discrete maps into some homogeneous spaces of nonnegative curvature Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-08-24 Toru Kajigaya
We consider stabilities for the weighted length or energy functional of a discrete map from a finite weighted graph \((X,m_{E})\) into a smooth Riemannian manifold (M, g). We prove the non-existence of a stable discrete minimal immersion or a non-constant stable discrete harmonic map from a finite weighted graph into certain homogeneous spaces, such as Kähler C-spaces of positive holomorphic sectional
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Existence of a strong solution for the 2D four-field RMHD equations Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-08-23 Shintaro Kondo, Takamasa Sawamura
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A new characterisation of the Fermat curve Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-08-22 Satoru Fukasawa
This paper presents a new characterisation of the Fermat curve, according to the arrangement of Galois points.
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Nehari manifold approach for superlinear double phase problems with variable exponents Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-08-21 Ángel Crespo-Blanco, Patrick Winkert
In this paper we consider quasilinear elliptic equations driven by the variable exponent double phase operator with superlinear right-hand sides. Under very general assumptions on the nonlinearity, we prove a multiplicity result for such problems whereby we show the existence of a positive solution, a negative one and a solution with changing sign. The sign-changing solution is obtained via the Nehari
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Embedding theorems for weighted Sobolev spaces in a borderline case and applications Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-08-17 J. L. Carvalho, M. F. Furtado, E. S. Medeiros
We establish some embedding results for weighted Sobolev spaces. As an application, we obtain one nonzero solution for the equation $$\begin{aligned} -\hbox {div}(|\nabla u|^{N-2}\nabla u) + V(x)|u|^{N-2}u = \lambda Q(x)f(u), \quad \hbox {in}\quad {\mathbb {R}}^N, \end{aligned}$$ where \(V,\,Q\) are nonnegative potentials, \(\lambda >0\) is a large parameter and f has critical growth in the Trudinger–Moser
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The Morse index theorem in the case of two variable endpoints in conic Finsler manifolds Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-08-17 Guangcun Lu
In this note, we prove the Morse index theorem for a geodesic connecting two submanifolds in a \(C^7\) manifold with a \(C^6\) (conic) pseudo-Finsler metric provided that the fundamental tensor is positive definite along velocity curve of the geodesic.
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Notions of visibility with respect to the Kobayashi distance: comparison and applications Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-08-17 Vikramjeet Singh Chandel, Anwoy Maitra, Amar Deep Sarkar
In this article, we study notions of visibility with respect to the Kobayashi distance for relatively compact complex submanifolds in Euclidean spaces. We present a sufficient condition for a domain to possess the visibility property relative to Kobayashi almost-geodesics introduced by Bharali–Zimmer (we call this simply the visibility property). As an application, we produce new classes of domains
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Unique continuation inequalities for Schrödinger equation on Riemannian symmetric spaces of noncompact type Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-08-11 Mithun Bhowmik, Swagato K. Ray
We study unique continuation inequalities for the free Schrödinger equation in the context of Riemannian symmetric spaces of noncompact type. The results imply that if the solution is small at two different times outside sets of finite measure, then the solution is small in the whole space. On the Euclidean spaces, these inequalities are equivalent to certain uncertainty principles in harmonic analysis
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On the dimension of the algebras of local infinitesimal isometries of 3-dimensional special sub-Riemannian manifolds Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-08-10 Marek Grochowski
Suppose that we are given a contact sub-Riemannian manifold (M, H, g) of dimension 3 such that the Reeb vector field is an infinitesimal isometry (such manifolds will be referred to as special). For a point \(q\in M\) denote by \(\mathfrak {i}^*(q)\) the Lie algebra of germs at q of infinitesimal isometries of (M, H, g). It is proved that for a generic point \(q\in M\), \(\dim \mathfrak {i}^*(q)\)
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Strong unique continuation and global regularity estimates for nanoplates Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-08-04 Antonino Morassi, Edi Rosset, Eva Sincich, Sergio Vessella
In this paper, we analyze some properties of a sixth-order elliptic operator arising in the framework of the strain gradient linear elasticity theory for nanoplates in flexural deformation. We first rigorously deduce the weak formulation of the underlying Neumann problem as well as its well posedness. Under some suitable smoothness assumptions on the coefficients and on the geometry, we derive interior
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Examples of surfaces with canonical maps of degree 12, 13, 15, 16 and 18 Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-08-01 Federico Fallucca
In this note, we present examples of complex algebraic surfaces with canonical maps of degree 12, 13, 15, 16 and 18. They are constructed as quotients of a product of two curves of genus 10 and 19 using certain non-free actions of the group \(S_3\times {\mathbb {Z}}_3^2\). To our knowledge, there are no other examples in the literature of surfaces with canonical map of degree 13, 15 and 18.
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Graph states and the variety of principal minors Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-07-28 Vincenzo Galgano, Frédéric Holweck
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Rigidity theorems of $$\lambda $$ -translating solitons in Euclidean and Lorentz-Minkowski spaces Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-07-26 Jihyeon Lee, Eungmo Nam, Juncheol Pyo
In this paper, we explore certain properties of \(\lambda \)-translators, which can be regarded as a natural generalization of translators. We first obtain a rigidity result for a complete \(\lambda \)-translator that is either a hyperplane or \({\mathbb {S}}^{n-1}\times {\mathbb {R}}\), depending on the squared norm of the second fundamental form and the mean curvature. We then obtain another rigidity
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Module braces: relations between the additive and the multiplicative groups Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-07-12 Ilaria Del Corso
In this paper, we define a class of braces that we call module braces or R-braces, which are braces for which the additive group has also a module structure over a ring R, and for which the values of the gamma functions are automorphisms of R-modules. This class of braces has already been considered in the literature in the case where the ring R is a field; we generalise the definition to any ring
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A Hölder estimate with an optimal tail for nonlocal parabolic p-Laplace equations Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-07-10 Sun-Sig Byun, Kyeongbae Kim
We study a weak solution of a homogeneous nonlocal parabolic equation of the p-Laplacian type. We identify a minimal regularity assumption on the associated parabolic nonlocal tail for which the weak solution enjoys Hölder’s regularity.
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Monotonicity and one-dimensional symmetry of solutions for fractional reaction-diffusion equations and various applications of sliding methods Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-07-09 Wenxiong Chen, Leyun Wu
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The globalization theorem for $$\textrm{CD}(K, N)$$ on locally finite spaces Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-07-07 Zhenhao Li
We establish the local-to-global property of the synthetic curvature-dimension condition for essentially non-branching locally finite metric-measure spaces, extending the work [Cavalletti and Milman in Invent Math 226(1):1–137, 2021].
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Transference of bilinear multipliers on Lorentz spaces Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-07-05 Ziyao Liu, Dashan Fan
We study DeLeeuw type transference theorems for multi-linear multiplier operators on the Lorentz spaces. To be detail, we show that, under some mild conditions on m, a bilinear multiplier operator \(T_{m,1}(f,g)\) is bounded on the Lorentz space in \( {\mathbb {R}} ^{n}\) if and only if its periodic version \({\widetilde{T}}_{m,\varepsilon }({\widetilde{f}},{\widetilde{g}})\) is bounded on the Lorentz
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A free boundary problem for the p-Laplacian with nonlinear boundary conditions Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-07-01 P. Acampora, E. Cristoforoni
We study a nonlinear generalization of a free boundary problem that arises in the context of thermal insulation. We consider two open sets \(\Omega \subseteq A\), and we search for an optimal A in order to minimize a nonlinear energy functional, whose minimizers u satisfy the following conditions: \(\Delta _p u=0\) inside \(A{\setminus }\Omega \), \(u=1\) in \(\Omega \), and a nonlinear Robin-like
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Existence and multiplicity of solutions for a Dirichlet problem in fractional Orlicz–Sobolev spaces Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-06-28 Pablo Ochoa, Analía Silva, Maria José Suarez Marziani
In this paper, we first prove the existence of solutions to Dirichlet problems involving the fractional g-Laplacian operator and lower order terms by appealing to sub- and supersolution methods. Moreover, we also state the existence of extremal solutions. Afterward, and under additional assumptions on the lower order structure, we establish by variational techniques the existence of multiple solutions:
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Uniform convolution estimates for complex polynomial curves in $${\mathbb {C}}^3$$ Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-06-16 Conor Meade
We establish optimal (p, q) ranges for the weighted convolution operator associated with a complex polynomial curve. Establishing this estimate comes down to establishing a lower bound for the Jacobian of a mapping associated with the complex curve in question.
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On maximal function of discrete rough truncated Hilbert transforms Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-06-07 Maciej Paluszyński, Jacek Zienkiewicz
We prove the weak type (1,1) estimate for maximal function of the truncated rough Hilbert transform considered in Paluszy’nski (ASNSCS 910:679-704, 2019), Paluszy’nski (CM 164(2):305-325, 2021).
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Classification of homogeneous hypersurfaces in some noncompact symmetric spaces of rank two Ann. Mat. Pura Appl. (IF 1.0) Pub Date : 2023-06-07 Ivan Solonenko